7820928192 has 224 divisors, whose sum is σ = 25942040064. Its totient is φ = 2020147200.

The previous prime is 7820928173. The next prime is 7820928197. The reversal of 7820928192 is 2918290287.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×7820928192² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7820928197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2851942 + ... + 2854682.

Almost surely, 2^7820928192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7820928192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12971020032).

7820928192 is an abundant number, since it is smaller than the sum of its proper divisors (18121111872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7820928192 is a wasteful number, since it uses less digits than its factorization.

7820928192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 7820928192 is about 88436.0118503769. The cubic root of 7820928192 is about 1984.9646009672.

The spelling of 7820928192 in words is "seven billion, eight hundred twenty million, nine hundred twenty-eight thousand, one hundred ninety-two".